What is factor (2x-1)^3+(3x+1)^3 ?

The solution to factor (2x-1)^3+(3x+1)^3 is 5x(7x^2+3x+3)

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factor (2x-1)^3+(3x+1)^3

factor

(2 x - 1)^{3} + (3 x + 1)^{3}

5 x (7 x^{2} + 3 x + 3)

Solution steps

(2 x - 1)^{3} + (3 x + 1)^{3}

Apply Sum of Cubes Formula:

x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2})

(2 x - 1)^{3} + (3 x + 1)^{3} = ((2 x - 1) + (3 x + 1)) ((2 x - 1)^{2} - (2 x - 1) (3 x + 1) + (3 x + 1)^{2})

= ((2 x - 1) + (3 x + 1)) ((2 x - 1)^{2} - (2 x - 1) (3 x + 1) + (3 x + 1)^{2})

Refine

= 5 x ((2 x - 1)^{2} - (2 x - 1) (3 x + 1) + (3 x + 1)^{2})

Expand

(2 x - 1)^{2} - (2 x - 1) (3 x + 1) + (3 x + 1)^{2} : 7 x^{2} + 3 x + 3

= 5 x (7 x^{2} + 3 x + 3)

x^{2} + 9 x + 20.25

(x + x^{2}) + (x y^{2} - y^{2})

(3 x - 1) - 2 x y

[T - T a] - \frac{d T}{d T}

[(7 x + 5) + 4 y] [(7 x + 5) - 4 y]

What is factor (2x-1)^3+(3x+1)^3 ?
The solution to factor (2x-1)^3+(3x+1)^3 is 5x(7x^2+3x+3)